The negation of the statement "For every real number $x$,$x^2+5$ is positive" is

  • A
    For every real number $x$,$x^2+5$ is not positive.
  • B
    For every real number $x$,$x^2+5$ is negative.
  • C
    There exists at least one real number $x$,such that $x^2+5$ is not positive.
  • D
    There exists at least one real number $x$,such that $x^2+5$ is positive.

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Similar Questions

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?

The contrapositive of $\sim q \to p$ is equivalent to

Statement $-1$: The statement $A \to (B \to A)$ is equivalent to $A \to (A \vee B)$.
Statement $-2$: The statement $\sim [(A \wedge B) \to (\sim A \vee B)]$ is a tautology.

The negation of $(p \wedge (\sim q)) \vee (\sim p)$ is equivalent to:

The statement $(p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q))$ is equivalent to

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